---
tag: 01REXW3WWE
kind: concept
name: Elementary matrix
msc: [15A23]
sources:
  - url: https://en.wikipedia.org/wiki/Elementary_matrix
    locator: lead section
same_as:
  wikidata: Q609566
  wikipedia: Elementary matrix
---

## Summary

An elementary matrix is a matrix that we get from the identity matrix by one elementary row operation.
Multiplying a matrix on the left by an elementary matrix performs that row operation.